TSTP Solution File: LCL083-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.33Mpu7snpZ true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:58:06 EDT 2023
% Result : Unsatisfiable 94.52s 14.10s
% Output : Refutation 94.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.33Mpu7snpZ true
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 01:17:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 94.52/14.10 % Solved by fo/fo7.sh.
% 94.52/14.10 % done 9303 iterations in 13.316s
% 94.52/14.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 94.52/14.10 % SZS output start Refutation
% 94.52/14.10 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 94.52/14.10 thf(implies_type, type, implies: $i > $i > $i).
% 94.52/14.10 thf(b_type, type, b: $i).
% 94.52/14.10 thf(a_type, type, a: $i).
% 94.52/14.10 thf(ic_JLukasiewicz, axiom,
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 ( implies @
% 94.52/14.10 ( implies @ ( implies @ X @ Y ) @ Z ) @
% 94.52/14.10 ( implies @ ( implies @ Z @ X ) @ ( implies @ U @ X ) ) ))).
% 94.52/14.10 thf(zip_derived_cl1, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 94.52/14.10 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 94.52/14.10 thf(zip_derived_cl1, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 94.52/14.10 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 94.52/14.10 thf(condensed_detachment, axiom,
% 94.52/14.10 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 94.52/14.10 ( is_a_theorem @ Y ))).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl4, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 94.52/14.10 (implies @ X0 @ X3)) @
% 94.52/14.10 (implies @ X4 @ (implies @ X0 @ X3))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl4, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 94.52/14.10 (implies @ X0 @ X3)) @
% 94.52/14.10 (implies @ X4 @ (implies @ X0 @ X3))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl5, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 94.52/14.10 (implies @ X1 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl7, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X3 @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl10, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X0 @ (implies @ X1 @ X0))) @
% 94.52/14.10 X3) @
% 94.52/14.10 (implies @ X4 @ X3)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl7, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X3 @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl9, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X0 @ (implies @ X1 @ X0))))
% 94.52/14.10 | ~ (is_a_theorem @ X2))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl7, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X3 @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 94.52/14.10 thf(zip_derived_cl15, plain,
% 94.52/14.10 (![X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X4 @ X3) @
% 94.52/14.10 (implies @ X3 @ (implies @ X4 @ X3))))),
% 94.52/14.10 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 94.52/14.10 thf(zip_derived_cl15, plain,
% 94.52/14.10 (![X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X4 @ X3) @
% 94.52/14.10 (implies @ X3 @ (implies @ X4 @ X3))))),
% 94.52/14.10 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl32, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X0 @ (implies @ X1 @ X0)) @ X1) @
% 94.52/14.10 (implies @ X2 @ X1)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl34, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X2 @ (implies @ X0 @ X2))) @
% 94.52/14.10 (implies @ X3 @ (implies @ X2 @ (implies @ X0 @ X2)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl56, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X3 @ X1) @
% 94.52/14.10 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl134, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl56])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl177, plain,
% 94.52/14.10 (![X0 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X0 @ (implies @ X0 @ X0)) @ X2) @
% 94.52/14.10 (implies @ X3 @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl5, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 94.52/14.10 (implies @ X1 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl447, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X2 @
% 94.52/14.10 (implies @ (implies @ X0 @ X0) @
% 94.52/14.10 (implies @ X1 @ (implies @ X0 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl177, zip_derived_cl5])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl585, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X0 @ X0) @
% 94.52/14.10 (implies @ X1 @ (implies @ X0 @ X0))))
% 94.52/14.10 | ~ (is_a_theorem @ X2))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl1031, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X2)
% 94.52/14.10 | (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ X0 @ X0)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl1106, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X0))
% 94.52/14.10 | (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0))))),
% 94.52/14.10 inference('condensation', [status(thm)], [zip_derived_cl1031])).
% 94.52/14.10 thf(zip_derived_cl4, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 94.52/14.10 (implies @ X0 @ X3)) @
% 94.52/14.10 (implies @ X4 @ (implies @ X0 @ X3))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl134, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl56])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl172, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ X1))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl186, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X1)
% 94.52/14.10 | (is_a_theorem @ (implies @ X0 @ X0))
% 94.52/14.10 | ~ (is_a_theorem @ X0))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl226, plain,
% 94.52/14.10 (![X0 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 94.52/14.10 inference('condensation', [status(thm)], [zip_derived_cl186])).
% 94.52/14.10 thf(zip_derived_cl1106, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X0))
% 94.52/14.10 | (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0))))),
% 94.52/14.10 inference('condensation', [status(thm)], [zip_derived_cl1031])).
% 94.52/14.10 thf(zip_derived_cl226, plain,
% 94.52/14.10 (![X0 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 94.52/14.10 inference('condensation', [status(thm)], [zip_derived_cl186])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl233, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 94.52/14.10 | (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 94.52/14.10 (implies @ X2 @ X1))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl569, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X2))
% 94.52/14.10 | (is_a_theorem @ (implies @ X1 @ X0))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X0)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl1123, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X0))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X1 @ (implies @ X0 @ X0)) @ X1))
% 94.52/14.10 | (is_a_theorem @ (implies @ X2 @ X1)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1106, zip_derived_cl569])).
% 94.52/14.10 thf(zip_derived_cl1196, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ (implies @ X2 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X1 @ (implies @ X0 @ X0)) @ X1)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl1123])).
% 94.52/14.10 thf(zip_derived_cl1249, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ X2 @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X0))))
% 94.52/14.10 | ~ (is_a_theorem @ X0))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1196])).
% 94.52/14.10 thf(zip_derived_cl9, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X0 @ (implies @ X1 @ X0))))
% 94.52/14.10 | ~ (is_a_theorem @ X2))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl13, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X2)
% 94.52/14.10 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl25, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 94.52/14.10 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 94.52/14.10 inference('condensation', [status(thm)], [zip_derived_cl13])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl28, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 94.52/14.10 | (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X1) @
% 94.52/14.10 (implies @ X3 @ X1))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl37, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X3 @ (implies @ X0 @ X2)))
% 94.52/14.10 | (is_a_theorem @ (implies @ X1 @ X0))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X3 @ (implies @ X0 @ X2)) @ X0)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl1482, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ X2 @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X0))) @
% 94.52/14.10 (implies @ X1 @ X0)))
% 94.52/14.10 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1249, zip_derived_cl37])).
% 94.52/14.10 thf(zip_derived_cl2362, plain,
% 94.52/14.10 (![X0 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X0))
% 94.52/14.10 | (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ X0))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1106, zip_derived_cl1482])).
% 94.52/14.10 thf(zip_derived_cl226, plain,
% 94.52/14.10 (![X0 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 94.52/14.10 inference('condensation', [status(thm)], [zip_derived_cl186])).
% 94.52/14.10 thf(zip_derived_cl2370, plain,
% 94.52/14.10 (![X0 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ X0))))),
% 94.52/14.10 inference('clc', [status(thm)], [zip_derived_cl2362, zip_derived_cl226])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl2427, plain,
% 94.52/14.10 (![X0 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X0 @ X0) @ X2) @
% 94.52/14.10 (implies @ X3 @ X2))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl2370, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl5, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 94.52/14.10 (implies @ X1 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl3654, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @
% 94.52/14.10 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl2427, zip_derived_cl5])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl3692, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ X2))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl3654, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl4035, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 94.52/14.10 inference('condensation', [status(thm)], [zip_derived_cl3692])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl4036, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ (implies @ X1 @ X0))
% 94.52/14.10 | ~ (is_a_theorem @ X0))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4035, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl4088, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 94.52/14.10 inference('simplify', [status(thm)], [zip_derived_cl4036])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl4157, plain,
% 94.52/14.10 (![X0 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X0 @ X2) @ (implies @ X3 @ X2))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4088, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl5, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 94.52/14.10 (implies @ X1 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl5024, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 94.52/14.10 | (is_a_theorem @
% 94.52/14.10 (implies @ X3 @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4157, zip_derived_cl5])).
% 94.52/14.10 thf(zip_derived_cl5110, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X4 : $i, X5 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X5 @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X4 @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl5024])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl6132, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X2 @ (implies @ X1 @ X0))))
% 94.52/14.10 | ~ (is_a_theorem @ X3))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl5110, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl34, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X2 @ (implies @ X0 @ X2))) @
% 94.52/14.10 (implies @ X3 @ (implies @ X2 @ (implies @ X0 @ X2)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl10, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X0 @ (implies @ X1 @ X0))) @
% 94.52/14.10 X3) @
% 94.52/14.10 (implies @ X4 @ X3)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl47, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X1 @ X0))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X3 @ X2) @
% 94.52/14.10 (implies @ X2 @ (implies @ X3 @ X2))) @
% 94.52/14.10 X0)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl78, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X2 @
% 94.52/14.10 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl47])).
% 94.52/14.10 thf(zip_derived_cl7751, plain,
% 94.52/14.10 (![X3 : $i, X4 : $i, X5 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X4 @ X3) @
% 94.52/14.10 (implies @ X5 @ (implies @ X4 @ X3))))),
% 94.52/14.10 inference('sup+', [status(thm)], [zip_derived_cl6132, zip_derived_cl78])).
% 94.52/14.10 thf(zip_derived_cl7751, plain,
% 94.52/14.10 (![X3 : $i, X4 : $i, X5 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X4 @ X3) @
% 94.52/14.10 (implies @ X5 @ (implies @ X4 @ X3))))),
% 94.52/14.10 inference('sup+', [status(thm)], [zip_derived_cl6132, zip_derived_cl78])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl7841, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X1) @
% 94.52/14.10 (implies @ X3 @ X1)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl7751, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl7914, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ X3 @ (implies @ X0 @ X2))) @
% 94.52/14.10 (implies @ X4 @ (implies @ X3 @ (implies @ X0 @ X2)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl7841, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl22794, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X4 @ X1) @
% 94.52/14.10 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl7914, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl23184, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ (implies @ X0 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)],
% 94.52/14.10 [zip_derived_cl7751, zip_derived_cl22794])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl23186, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ X2))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl23184, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl23424, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X2)
% 94.52/14.10 | (is_a_theorem @ (implies @ X0 @ X0))
% 94.52/14.10 | ~ (is_a_theorem @ X1))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl23186, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl23763, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X1)))),
% 94.52/14.10 inference('condensation', [status(thm)], [zip_derived_cl23424])).
% 94.52/14.10 thf(zip_derived_cl7751, plain,
% 94.52/14.10 (![X3 : $i, X4 : $i, X5 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X4 @ X3) @
% 94.52/14.10 (implies @ X5 @ (implies @ X4 @ X3))))),
% 94.52/14.10 inference('sup+', [status(thm)], [zip_derived_cl6132, zip_derived_cl78])).
% 94.52/14.10 thf(zip_derived_cl5, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 94.52/14.10 (implies @ X1 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl7867, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X3 @
% 94.52/14.10 (implies @ X0 @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl7751, zip_derived_cl5])).
% 94.52/14.10 thf(zip_derived_cl23767, plain,
% 94.52/14.10 (![X4 : $i]: (is_a_theorem @ (implies @ X4 @ X4))),
% 94.52/14.10 inference('sup+', [status(thm)],
% 94.52/14.10 [zip_derived_cl23763, zip_derived_cl7867])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl24034, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 94.52/14.10 (implies @ X2 @ X1)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl23767, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl1, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 94.52/14.10 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 94.52/14.10 thf(zip_derived_cl24034, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 94.52/14.10 (implies @ X2 @ X1)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl23767, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl25127, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X2)) @
% 94.52/14.10 (implies @ X3 @ (implies @ X0 @ X2))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl24034, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl28634, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 94.52/14.10 (implies @ X3 @ X1)) @
% 94.52/14.10 (implies @ X4 @ (implies @ X3 @ X1))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl25127, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl35095, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 94.52/14.10 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X4 @ (implies @ X0 @ X3)) @
% 94.52/14.10 (implies @ X1 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl28634, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl35255, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X4 @
% 94.52/14.10 (implies @ (implies @ (implies @ (implies @ X1 @ X0) @ X2) @ X0) @
% 94.52/14.10 (implies @ X1 @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl35095])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl35521, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ (implies @ X1 @ X0) @ X2) @ X0) @
% 94.52/14.10 (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ X3))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl35255, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl23767, plain,
% 94.52/14.10 (![X4 : $i]: (is_a_theorem @ (implies @ X4 @ X4))),
% 94.52/14.10 inference('sup+', [status(thm)],
% 94.52/14.10 [zip_derived_cl23763, zip_derived_cl7867])).
% 94.52/14.10 thf(zip_derived_cl35877, plain,
% 94.52/14.10 (![X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ (implies @ X2 @ X1) @ X3) @ X1) @
% 94.52/14.10 (implies @ X2 @ X1)))),
% 94.52/14.10 inference('sup+', [status(thm)],
% 94.52/14.10 [zip_derived_cl35521, zip_derived_cl23767])).
% 94.52/14.10 thf(zip_derived_cl3, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl36367, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @
% 94.52/14.10 (implies @ (implies @ X1 @ X0) @ X2)) @
% 94.52/14.10 (implies @ X3 @ (implies @ (implies @ X1 @ X0) @ X2))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl35877, zip_derived_cl3])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl42140, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ X3 @ (implies @ (implies @ X2 @ X1) @ X0)))
% 94.52/14.10 | ~ (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ X2 @ X1) @
% 94.52/14.10 (implies @ (implies @ X2 @ X1) @ X0))))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl36367, zip_derived_cl0])).
% 94.52/14.10 thf(zip_derived_cl42646, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 (is_a_theorem @
% 94.52/14.10 (implies @ X2 @
% 94.52/14.10 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0)))),
% 94.52/14.10 inference('sup-', [status(thm)],
% 94.52/14.10 [zip_derived_cl24034, zip_derived_cl42140])).
% 94.52/14.10 thf(zip_derived_cl0, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i]:
% 94.52/14.10 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 94.52/14.10 | ~ (is_a_theorem @ X0)
% 94.52/14.10 | (is_a_theorem @ X1))),
% 94.52/14.10 inference('cnf', [status(esa)], [condensed_detachment])).
% 94.52/14.10 thf(zip_derived_cl43248, plain,
% 94.52/14.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.52/14.10 ( (is_a_theorem @
% 94.52/14.10 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))
% 94.52/14.10 | ~ (is_a_theorem @ X2))),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl42646, zip_derived_cl0])).
% 94.52/14.10 thf(prove_ic_3, conjecture,
% 94.52/14.10 (is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ))).
% 94.52/14.10 thf(zf_stmt_0, negated_conjecture,
% 94.52/14.10 (~( is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ) )),
% 94.52/14.10 inference('cnf.neg', [status(esa)], [prove_ic_3])).
% 94.52/14.10 thf(zip_derived_cl2, plain,
% 94.52/14.10 (~ (is_a_theorem @ (implies @ (implies @ (implies @ a @ b) @ a) @ a))),
% 94.52/14.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 94.52/14.10 thf(zip_derived_cl43983, plain, (![X0 : $i]: ~ (is_a_theorem @ X0)),
% 94.52/14.10 inference('sup-', [status(thm)], [zip_derived_cl43248, zip_derived_cl2])).
% 94.52/14.10 thf(zip_derived_cl23767, plain,
% 94.52/14.10 (![X4 : $i]: (is_a_theorem @ (implies @ X4 @ X4))),
% 94.52/14.10 inference('sup+', [status(thm)],
% 94.52/14.10 [zip_derived_cl23763, zip_derived_cl7867])).
% 94.52/14.10 thf(zip_derived_cl44217, plain, ($false),
% 94.52/14.10 inference('sup+', [status(thm)],
% 94.52/14.10 [zip_derived_cl43983, zip_derived_cl23767])).
% 94.52/14.10
% 94.52/14.10 % SZS output end Refutation
% 94.52/14.10
% 94.52/14.10
% 94.52/14.10 % Terminating...
% 95.19/14.20 % Runner terminated.
% 95.19/14.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------